Search a number
-
+
76422696 = 23374371149
BaseRepresentation
bin1001000111000…
…01111000101000
312022210200020020
410203201320220
5124031011241
611330000440
71615403460
oct443417050
9168720206
1076422696
113a158559
1221716120
1312aaa03c
14a214ba0
156a98b66
hex48e1e28

76422696 has 128 divisors (see below), whose sum is σ = 228096000. Its totient is φ = 20885760.

The previous prime is 76422659. The next prime is 76422757. The reversal of 76422696 is 69622467.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512830 + ... + 512978.

It is an arithmetic number, because the mean of its divisors is an integer number (1782000).

Almost surely, 276422696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76422696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114048000).

76422696 is an abundant number, since it is smaller than the sum of its proper divisors (151673304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76422696 is a wasteful number, since it uses less digits than its factorization.

76422696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 275 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 76422696 is about 8742.0075497565. The cubic root of 76422696 is about 424.3661989986.

The spelling of 76422696 in words is "seventy-six million, four hundred twenty-two thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 71 84 86 129 142 149 168 172 213 258 284 298 301 344 426 447 497 516 568 596 602 852 894 903 994 1032 1043 1192 1204 1491 1704 1788 1806 1988 2086 2408 2982 3053 3129 3576 3612 3976 4172 5964 6106 6258 6407 7224 8344 9159 10579 11928 12212 12516 12814 18318 19221 21158 21371 24424 25032 25628 31737 36636 38442 42316 42742 44849 51256 63474 64113 73272 74053 76884 84632 85484 89698 126948 128226 134547 148106 153768 170968 179396 222159 253896 256452 269094 296212 358792 444318 454897 512904 538188 592424 888636 909794 1076376 1364691 1777272 1819588 2729382 3184279 3639176 5458764 6368558 9552837 10917528 12737116 19105674 25474232 38211348 76422696